In a particular study, a medical student recorded the age and blood pressure of 8 men. The regressio

Question

In a particular study, a medical student recorded the age and blood pressure of 8 men. The regression line of $y$ on $x$ is determined to be $y=1.144x+79.914$. Unfortunately, the student then lost the record of one of the men. He urgently needs the missing data, $b$ in his report. Age ($x$)$49$$58$$44$$75$$37$$57$$63$$66$ Blood Pressure ($y$)$133$$148$$b$$166$$123$$147$$154$$152$ Show that $b$ is 130.[3] Draw a scatter diagram for the data in the table.[2] Find the linear product moment correlation coefficient between $y$ and $x$.[1] Use the given regression line to estimate the age of a man when his blood pressure is $150$, giving your answer to the nearest integer.[1] Explain whether this choice of the regression line is appropriate.[1]

Accepted Answer

(i) $b=130$ (ii) Scatter diagram plotted for the eight data pairs (iii) $r=0.989$ (iv) $61$ years (v) Not appropriate; estimating $x$ from $y$ requires the regression line of $x$ on $y$.

2010 MI P2 Q8

2010 MI P2 Q8

Video Solution:

Solution:

Solution locked